General Relativity and Quantum Cosmology

Title:ADM-like Hamiltonian formulation of gravity in the teleparallel geometry

Abstract: We present a new Hamiltonian formulation of the Teleparallel Equivalent of
General Relativity (TEGR) meant to serve as the departure point for canonical
quantization of the theory. TEGR is considered here as a theory of a cotetrad
field on a spacetime. The Hamiltonian formulation is derived by means of an
ADM-like 3+1 decomposition of the field and without any gauge fixing. A
complete set of constraints on the phase space and their algebra are presented.
The formulation is described in terms of differential forms.

Comments:

43 pages, LaTeX2e; the original 73 page paper arXiv:1111.5498v1 was revised and divided into two parts. The present paper is the first part of the original one (the second part is available as arXiv:1309.4685)